Subtract the rational expression
Please show the steps to the answer
Answer:
[tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]
1. Find common denominator (LCD)(x + 3)(2x - 1) = [tex]2x^2 + 5x - 4[/tex]2. Multiply bottom to get LCD, then multiply top to matchFirst term: [tex]\frac{x}{x+3} (\frac{2x -1}{2x-1} ) = \frac{2x^2-x}{2x^2+5x-4}[/tex]Second term: [tex]\frac{x+4}{2x-1} (\frac{x+3}{x+3} )=\frac{x^2+7x+12}{2x^2+5x-4}[/tex]Ending expression: [tex]\frac{2x^2-x}{2x^2+5x-4} -\frac{x^2+7x+12}{2x^2+5x-4}[/tex]3. Rewrite terms in a single fraction[tex]\frac{2x^2-x}{2x^2+5x-4} -\frac{x^2+7x+12}{2x^2+5x-4}[/tex] -----> [tex]\frac{(2x^2-x)-(x^2+7x+12)}{2x^2+5x-4}[/tex]4. Subtract, then combine like termsFinal answer: [tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]
14. Classify Each Angle Pair then find the value of X
A recipe calls for 2 fluid ounces of cooking oil. Nadine measures the oil into a measuring cup to the 14-cup mark.
Did Nadine pour the correct amount of oil?
A. No, she poured 1 ounce too much.
B. No, she poured 1 ounce too little.
C. No, she poured 0.5 ounce too little.
D. Yes, she poured the correct amount.
Answer:
D
Step-by-step explanation:
i answered from plato
Add. Write your answer in simplest form.
5 3/4+ 2 11/12
I will mark you Brainliest for fastest answers.
(Please use your own words, and no links to answers please!)
Answer :D
8 [tex]\frac{2}{3}[/tex] (8 2/3)
Question explanation:
5 [tex]\frac{3}{4}[/tex] + 2 [tex]\frac{11}{12}[/tex] = [tex]\frac{26}{3}[/tex] = 8 [tex]\frac{2}{3}[/tex]
(5 3/4) + (2 11/12) = (26/3) = (8 2/3)
(5 + 2) + ( [tex]\frac{3}{4}[/tex] + [tex]\frac{11}{12}[/tex] )
(5 + 2) + (3/4 + 11/12)
7 + 3 x 3 + [tex]\frac{11}{12}[/tex]
(4 x 3) (11/12)
7 + [tex]\frac{9}{12}[/tex] + [tex]\frac{11}{12}[/tex]
(9/12) + (11/12)
7 + 9 + 11
(12)
7 + [tex]\frac{20}{12}[/tex]
(7 + 20/12)
7 + (20 ÷ 4)
(12 ÷ 4)
7 + [tex]\frac{5}{3}[/tex]
(5/3)
7 + 1 [tex]\frac{2}{3}[/tex]
( 1 2/3)
= 8 [tex]\frac{2}{3}[/tex]
(8 2/3)
Simplify:8 [tex]\frac{2}{3}[/tex] = [tex]\frac{26}{3}[/tex] = 8 [tex]\frac{2}{3}[/tex]
(8 2/3) (26/3) (8 2/3)
I hope this finds you well - Answered by Lilo
Each group of words is a clause from the passage with capitalization and punctuation removed. Decide which type of clause each group of words is. Drag each clause to the correct box.
(Independent: the students where exited, and they used flashlights)
(Dependent: Because they were going spelunking, and when they entered the cave)
What is are independent and dependent clauses?
Independent clause: a sentence/phrase that has a subject and verb that can stand as its own sentence and can express a complete thoughtDependent clause: a group of words that can't stand as its own sentence or express a complete thought*Reading these clauses aloud will help you hear whether or not the sentence sounds complete*
Let's look at each sentence separately to determine which clause they are:
the students were excited: this is an independent clause. It has a subject [the students] and a verb [were] and when read aloud, it sounds like a complete sentencebecause they were going spelunking: this is a dependent clause. Although it has a subject [they] and a verb [were going] it sounds incomplete and is missing a phrase before 'because' to complete the sentence.when they entered the cave: this is a dependent clause. It has a subject [they] and a verb [entered]. but there is no phrase following this clause to complete the sentencethey used flashlights: this is an independent clause: It sounds and is written as a complete sentence.The quantities x and y are proportional.
x y
12 36
18 54
25 75
Find the constant of proportionality (r)left parenthesis, r, right parenthesis in the equation y= r x
r= equals
Answer:3
Step-by-step explanation:
36/12=3
54/18=3
75/25=3
Angles Sand T are vertical angles. If angle S has a measure of (x−2)∘, and angle T has a measure of 40∘, what is the value of x?
Answer:
if one of the angles measures 70 then the opposite angle will also measure 70 while the neighboring angles will measure 180 - 70
Step-by-step explanation:
hope this help if not please let me now
By definition of vertically opposite angle, the value of x is,
⇒ x = 42
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
We have to given that;
Angles S and T are vertical angles.
And, The angle S has a measure of (x - 2)°, and angle T has a measure of 40°.
Now, We know that;
Vertically opposite angles are equal to each other.
Hence, We get;
⇒ ∠ S = ∠ T
⇒ (x - 2)° = 40°
⇒ x - 2 = 40
⇒ x = 40 + 2
⇒ x = 42
Thus, By definition of vertically opposite angle, the value of x is,
⇒ x = 42
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Felix and Julyssa are computing 3 + 4 x 4. Feliz says the answer is 28. Julyssa says the answer is 19. Who is right? Explain.
Answer: Julyssa is right
Step-by-step explanation: According to PEMDAS, multiplication goes first (before) addition so
3 + (4x4)
3 + 16
= 19
PEMDAS
PARENTHESES
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION
interpreting negative number part 1
Can someone please help me.
Answer:
Radius= 8.99 mm (9 mm)
Step-by-step explanation:
We use the formula for the volume of a cone which is
1/3 pi ×(radius)^2 *height
932.58 = (pi) × (11) ×(r^2/3)
Radius^2 = (932.58×3) / (11pi)
= 80.96m
Radius= 8.99mm
Answer:
volume= 1/3πr²h
932.58=1/3×3.14×r²×11
3×932.58=34.54×r² ×3
3
2,797.74 = 34.54×r²
34.54. 34.54
√r²= √81
r=9mm
Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112.
Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.
Find the number of pairs of shoes he must sell to meet his daily earnings goal.
Step-by-step explanation:
Equation to determine how many pairs of shoes :- S = 40 + 4.5x
Where,
S is Earnings
x is Shoe
⇒ 112 = 40 + 4.5x
⇒ 40 + 4.5x = 112
⇒ 4.5x = 112 - 40
⇒ 4.5x = 72
⇒ 4.5x/4.5 = 72/4.5
⇒ x = 16
[tex]\therefore [/tex] Roger must sell 16 shoes per day to meet his daily earning goal
What is the area of the figure below?
40[tex]mm^{2}[/tex]
88[tex]mm^{2}[/tex]
80[tex]mm^{2}[/tex]
96[tex]mm^{2}[/tex]
Answer:
88mm^2
Sorry for not answering it early I know this answer is probably useless for you now
Step-by-step explanation:
Ok, suppose we were to divide this figure into two parts figure 1 & 2
like this... the picture is goven above
So, we can clearly see that figure 1 is a square as it has equal dimensions
and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area
So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.
So we get,
Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm
Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.
Area of figure 1
Area of square = side*side = 8*8 = 64mm^2
Area of figure 2
Area of rectangle = length*breadth = 4*6 = 24mm^2
Total area of the figures
Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2
For each material listed in the table, find the mass for cm3 in grams and kilograms. Then find the weight in pounds.
ill give brainliest
Answer:
0.00003 and 0.03
Step-by-step explanation:
helppp ive tried this 800 times i swearr
Answer:
10%
Step-by-step explanation:
The prediction is 10%
The simulation is 1 out of 5.
1 out of 5 = 1/5 = 0.2 = 20%
The difference between 10% and 20% is 10%.
The difference between the simulation and the prediction is 10%.
Answer:
10%
Step-by-step explanation:
I'll give brainliest
What is the volume of this object? Enter answer as a mixed number.
__u^3
please help me asap.
Answer:
a=8.8 kg
b=3.3 kg
c=2.49 kg
Step-by-step explanation:
What is the equation of the line in slope intercept form that has a slope of 1/2 and passes through (2,3)
Answer:
y = 1/2x + 2
*view the attached graph to double check the answer*
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = mx + b
y = 1/2x + b
(2, 3) ==> substitute the numbers into the equation
y = 1/2x + b
3 = 1/2(2) + b
3 = 1 + b
-1 -1
2 = b
Our final equation: y = 1/2x + 2
Check your answer using (2, 3):
y = 1/2x + 2
3 = 1/2(2) + 2
3 = 1 + 2
3 = 3
This statement is correct
Hope this helps!
What is the solution set of the inequality below?
A .y greater than negative 33
B. y less than 33
C. y less than negative 33
D .y greater than 33
Your answer is C
Step-by-step explanation:
Multiply -33 x 11
formula: Area of a parallelogram = base X height
I'm kind of confused.
Are multiplication and division of unit fractions related? Describe the relationship you see.
note: PLEASE MAKE ANSWER LONG BC IT CANT BE SHORT
Answer:Multiplication and division both need to have a common denominator or else you would get an incorrect answer. Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators."
Hii
Yes! They are indeed related. When dividing fractions, we need multiplication. Say, for example. We need to multiply the reciprocal of the second fraction to the first. So. If we needed to answer a question like "2/4 divided by 1/2" We would need to find a common denominator. We find common denominators by multiplication. We can do this 2 ways. See below.
For one, we could multiply 2 and 4 to get 8.For two, we could see what 2 and 4 both multiply by. In this case 8.
Then we would need to divide 2 and 1.
1 can go into 2 twice. 1+1 is 2.Then we multipy to find our denominator (this is a example of using multiplication with divison). 2x4 is 8. So the fraction would be 2/8.Simplify.
Find the GCD (or HCF) of numerator and denominator GCD of 2 and 8 is 2Divide both the numerator and denominator by the GCD 2 ÷ 2 / 8 ÷ 2Reduced fraction: 1 / 4 Therefore, 2/8 simplified to lowest terms is 1/4.
Simplified you'd get 1/4.
(tip, once the numerator hits 1, you can no longer simplify)
Hope this helps!
Please give brainliest.
Find the value of a and b so that f(x)=(x-5)(a㏒ₓ3-b)
Answer: :-p(x) = x⁴ - ax³ -3x² + 2x + bWe have to find the values of "a" and "b"Given :-(x+1) and (x-1)
Find the interquartile range (IQR) of your data. Show your work.
23, 75,79,99,105,110,110,142,149,168,168,170,183,195,202
Please help I don't understand!
Answer:
Interquartile Range = 71
Step-by-step explanation:
The interquartile range is the middle 50% of the data set. First you calculate the location of the 3rd quartile (75% of the data set) by computing:
LQ3 = (75/100)(n + 1) -> here n is the number of observations you have, so 15. You can now compute LQ3 = (75/100)(16) = 12
The data at location 12 of your data set is 170.
Now you compute the 1st quartile (25% of the data set):
LQ1 = (25/100)(16) = 4
The data at location 4 of your data set is 99.
The difference between the 3rd quartile (170) and the 1st quartile (99) is your interquartile range:
IQR = 170 - 99 = 71
ILL GIVE BRAINLIEST TO THE CORRECT ANSER BUT ANSWER ASAP
Answer:
625 is the answer
Step-by-step explanation:
Please help someone!
Taylor has a bag containing 15 counters. The table below shows the number of counters of each color in the bag. As a part of a probability experiment for science club, Taylor randomly picks a counter from the bag then replaces it. She repeats this 300 times.
Part A
Taylor randomly picks a counter out of the bag. What is the probability that it will be red?
Show your work and explain your answer.
Part B
Predict the number of times out of 300 Taylor will pick a red counter.
Answer:
part a. she has an 8 out of the 15 counters chance at getting red. part b. she has a chance of 262 times out of the 300 to get red
Step-by-step explanation:
i hope this helps and i'm sorry if it's wrong have a lovely day
The probability that it will be red is 8/15.
The number of times out of 300 Taylor will pick a red counter is 160.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Taylor has a bag containing 15 counters.
First, the probability that it will be red
= 8/15
Now, if she repeats 300 times then
= 8/15 x 300
= 8 x 20
= 160
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FIRST TO ANSWER GETS BRAINLIEST
Answer:
about 1575 sqaure meters
Step-by-step explanation:
1. Create An equation
Formula Area of trapeziod: 1/2x(b1+b2)xh
1/2x(40+50)x35=Area
1/2x90x35=Area
45x35=Area
Area=1575 because the shape is a trapeziod according to the information in the problem which we can just then use the formula to calculate the area.
Find the circumference of the circle. Use 3.14 or for . Round to the nearest tenth if necessary.
a helicopter pad with a diameter of 192 yards
Answer:
The circumference is equal to 602.88
Step-by-step explanation:
i need help on this i dont know how to do this
Answer:
D.4.375
Step-by-step explanation:
this is the answer
The volume of this cone is 1,017.36 cubic inches. The radius is 9 inches. What is the height of this cone?
Answer:
12
Step-by-step explanation:
brainliest if its right
Answer:
6.28 meters
Step-by-step explanation:
Circumference = π x Diameter or 2 X π X Radius
3.14 X 2 = 6.28
Answer:
6.28 meters
Step-by-step explanation:
A gallery planner creates a scale model of a gallery with a scale of 2 inches = 7feet. If the scale model of the gallery measures 24 inches long, how many feet long is the actual gallery?
Answer:
The width of the scale model is 33 inches.
Step-by-step explanation:
This question is solved making a relation with the scale model. In the scale, 3 inches are worth 11 real feet.hope this help you.if you need any more help let me now and I mite be abal to help you.
The actual gallery comes to be 84 feet long.
What is a scale factor?A scale factor is a factor by which the dimension of an object is enlarged or diminished.
Scale of 2 inches = 7feet.
So, a scale of 1 inch = 7/2 feet
So, scale factor =7/2
So, a scale of 24 inches = 24*scale factor= 24*7/2 = 84 feet
So, the actual length of the gallery = 84 feet
Therefore, the actual gallery comes to be 84 feet long.
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